Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)最新文献

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Type inference for recursive definitions 递归定义的类型推断
Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158) Pub Date : 1999-07-02 DOI: 10.1109/LICS.1999.782600
A. Kfoury, Santiago M. Pericás-Geertsen
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引用次数: 6
A fully abstract game semantics for finite nondeterminism 有限不确定性的完全抽象博弈语义
Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158) Pub Date : 1999-07-02 DOI: 10.1109/LICS.1999.782637
Russell Harmer, G. McCusker
{"title":"A fully abstract game semantics for finite nondeterminism","authors":"Russell Harmer, G. McCusker","doi":"10.1109/LICS.1999.782637","DOIUrl":"https://doi.org/10.1109/LICS.1999.782637","url":null,"abstract":"A game semantics of finite nondeterminism is proposed. In this model, a strategy may make a choice between different moves in a given situation; moreover, strategies carry extra information about their possible divergent behaviour. A Cartesian closed category is built and a model of a simple, higher-order nondeterministic imperative language is given. This model is shown to be fully abstract, with respect to an equivalence based on both safety and liveness properties, by means of a factorization theorem which states that every nondeterministic strategy is the composite of a deterministic strategy with a nondeterministic oracle.","PeriodicalId":352531,"journal":{"name":"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122048173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 109
Guarded fixed point logic 保护不动点逻辑
Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158) Pub Date : 1999-07-02 DOI: 10.1109/LICS.1999.782585
E. Grädel, I. Walukiewicz
{"title":"Guarded fixed point logic","authors":"E. Grädel, I. Walukiewicz","doi":"10.1109/LICS.1999.782585","DOIUrl":"https://doi.org/10.1109/LICS.1999.782585","url":null,"abstract":"Guarded fixed point logics are obtained by adding least and greatest fixed points to the guarded fragments of first-order logic that were recently introduced by H. Andreka et al. (1998). Guarded fixed point logics can also be viewed as the natural common extensions of the modal p-calculus and the guarded fragments. We prove that the satisfiability problems for guarded fixed point logics are decidable and complete for deterministic double exponential time. For guarded fixed point sentences of bounded width, the most important case for applications, the satisfiability problem is EXPTIME-complete.","PeriodicalId":352531,"journal":{"name":"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128656302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 171
First-order logic vs. fixed-point logic in finite set theory 有限集合论中的一阶逻辑与不动点逻辑
Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158) Pub Date : 1999-07-02 DOI: 10.1109/LICS.1999.782622
Albert Atserias, Phokion G. Kolaitis
{"title":"First-order logic vs. fixed-point logic in finite set theory","authors":"Albert Atserias, Phokion G. Kolaitis","doi":"10.1109/LICS.1999.782622","DOIUrl":"https://doi.org/10.1109/LICS.1999.782622","url":null,"abstract":"The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has been established that either way of settling this conjecture would resolve open problems in complexity theory. In fact, this holds true even for the particular instance of the ordered conjecture on the class of BIT-structures, that is, ordered finite structures with a built-in BIT predicate. Using a well known isomorphism from the natural numbers to the hereditarily finite sets that maps BIT to the membership relation between sets, the ordered conjecture on BIT-structures can be translated to the problem of comparing the expressive power of FO and LFP in the context of finite set theory. The advantage of this approach is that we can use set-theoretic concepts and methods to identify certain fragments of LFP for which the restriction of the ordered conjecture is already hard to settle, as well as other restricted fragments of LFP that actually collapse to FO. These results advance the state of knowledge about the ordered conjecture on BIT-structures and contribute to the delineation of the boundary where this conjecture becomes hard to settle.","PeriodicalId":352531,"journal":{"name":"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123591052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
A new approach to abstract syntax involving binders 一种涉及绑定的抽象语法的新方法
Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158) Pub Date : 1999-07-02 DOI: 10.1109/LICS.1999.782617
M. Gabbay, A. Pitts
{"title":"A new approach to abstract syntax involving binders","authors":"M. Gabbay, A. Pitts","doi":"10.1109/LICS.1999.782617","DOIUrl":"https://doi.org/10.1109/LICS.1999.782617","url":null,"abstract":"The Fraenkel-Mostowski permutation model of set theory with atoms (FM-sets) can serve as the semantic basis of meta-logics for specifying and reasoning about formal systems involving name binding, /spl alpha/-conversion, capture avoiding substitution, and so on. We show that in FM-set theory one can express statements quantifying over 'fresh' names and we use this to give a novel set-theoretic interpretation of name abstraction. Inductively defined FM-sets involving this name abstraction set former (together with cartesian product and disjoint union) can correctly encode object-level syntax module e-conversion. In this way, the standard theory of algebraic data types can be extended to encompass signatures involving binding operators. In particular, there is an associated notion of structural recursion for defining syntax-manipulating functions (such as capture avoiding substitution, set of free variables, etc.) and a notion of proof by structural induction, both of which remain pleasingly close to informal practice.","PeriodicalId":352531,"journal":{"name":"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126545394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 346
Weak bisimulation and open maps 弱双模拟和开放地图
Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158) Pub Date : 1999-01-14 DOI: 10.1109/LICS.1999.782590
M. Fiore, Gian Luca Cattani, G. Winskel
{"title":"Weak bisimulation and open maps","authors":"M. Fiore, Gian Luca Cattani, G. Winskel","doi":"10.1109/LICS.1999.782590","DOIUrl":"https://doi.org/10.1109/LICS.1999.782590","url":null,"abstract":"A systematic treatment of weak bisimulation and observational congruence on presheaf models is presented. The theory is developed with respect to a \"hiding\" functor from a category of paths to observable paths. Via a view of processes as bundles, we are able to account for weak morphisms (roughly only required to preserve observable paths) and to derive a saturation monad (on the category of presheaves over the category of paths). Weak morphisms may be encoded as strong ones via the Kleisli construction associated to the saturation monad. A general notion of weak open-map bisimulation is introduced, and results relating various notions of strong and weak bisimulation are provided. The abstract theory is accompanied by fine concrete study of two key models for concurrency, the interleaving model of synchronisation trees and the independence model of labelled event structures.","PeriodicalId":352531,"journal":{"name":"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124369117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 66
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