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We propose Pushdown Normal Form (PDNF) Bisimulation to verify contextual equivalence in higher-order functional programming languages with local state. Similar to previous work on Normal Form (NF) bisimulation, PDNF Bisimulation is sound…

Programming Languages · Computer Science 2023-11-03 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

We present a probabilistic version of PCF, a well-known simply typed universal functional language. The type hierarchy is based on a single ground type of natural numbers. Even if the language is globally call-by-name, we allow a…

Logic in Computer Science · Computer Science 2015-11-05 Thomas Ehrhard , Michele Pagani , Christine Tasson

Program equivalence in linear contexts, where programs are used or executed exactly once, is an important issue in programming languages. However, existing techniques like those based on bisimulations and logical relations only target at…

Programming Languages · Computer Science 2011-10-12 Yuxin Deng , Yu Zhang

Probabilistic applicative bisimulation is a recently introduced coinductive methodology for program equivalence in a probabilistic, higher-order, setting. In this paper, the technique is applied to a typed, call-by-value, lambda-calculus.…

Logic in Computer Science · Computer Science 2014-01-30 Raphaelle Crubille , Ugo Dal Lago

Intersection type systems have been independently applied to different evaluation strategies, such as call-by-name (CBN) and call-by-value (CBV). These type systems have been then generalized to different subsuming paradigms being able, in…

Logic in Computer Science · Computer Science 2024-04-23 Pablo Barenbaum , Delia Kesner , Mariana Milicich

Labeled state-to-function transition systems, FuTS for short, admit multiple transition schemes from states to functions of finite support over general semirings. As such they constitute a convenient modeling instrument to deal with…

Logic in Computer Science · Computer Science 2012-09-10 D. Latella , M. Massink , E. P. de Vink

Progress in the behavioral analysis of software product lines at the family level benefits from further development of the underlying semantical theory. Here, we propose a behavioral equivalence for feature transition systems (FTS)…

Logic in Computer Science · Computer Science 2015-04-15 Tessa Belder , Maurice H. ter Beek , Erik P. de Vink

Labeled state-to-function transition systems, FuTS for short, are characterized by transitions which relate states to functions of states over general semirings, equipped with a rich set of higher-order operators. As such, FuTS constitute a…

Logic in Computer Science · Computer Science 2017-01-11 Diego Latella , Mieke Massink , Erik P De Vink

Linear dependent types allow to precisely capture both the extensional behaviour and the time complexity of lambda terms, when the latter are evaluated by Krivine's abstract machine. In this work, we show that the same paradigm can be…

Logic in Computer Science · Computer Science 2012-07-25 Ugo Dal Lago , Barbara Petit

Weighted labelled transition systems (WLTSs) are an established meta-model aiming to provide general results and tools for a wide range of systems such as non-deterministic, stochastic, and probabilistic systems. In order to encompass…

Logic in Computer Science · Computer Science 2017-04-25 Marino Miculan , Marco Peressotti

In previous work with Pous, we defined a semantics for CCS which may both be viewed as an innocent presheaf semantics and as a concurrent game semantics. It is here proved that a behavioural equivalence induced by this semantics on CCS…

Logic in Computer Science · Computer Science 2013-05-28 Tom Hirschowitz

We present a symbolic transition system and bisimulation equivalence for psi-calculi, and show that it is fully abstract with respect to bisimulation congruence in the non-symbolic semantics. A psi-calculus is an extension of the…

Logic in Computer Science · Computer Science 2010-02-16 Magnus Johansson , Björn Victor , Joachim Parrow

Extended addressing machines (EAMs) have been introduced to represent higher-order sequential computations. Previously, we have shown that they are capable of simulating -- via an easy encoding -- the operational semantics of PCF, extended…

Logic in Computer Science · Computer Science 2025-08-13 Benedetto Intrigila , Giulio Manzonetto , Nicolas Munnich

We prove a general congruence result for bisimilarity in higher-order languages, which generalises previous work to languages specified by a labelled transition system in which programs may occur as labels, and which may rely on operations…

Logic in Computer Science · Computer Science 2023-03-22 Tom Hirschowitz , Ambroise Lafont

Levy's call-by-push-value is a comprehensive programming paradigm that combines elements from functional and imperative programming, supports computational effects and subsumes both call-by-value and call-by-name evaluation strategies. In…

Programming Languages · Computer Science 2025-03-11 Sergey Goncharov , Stelios Tsampas , Henning Urbat

Applicative bisimulation is a coinductive technique to check program equivalence in higher-order functional languages. It is known to be sound, and sometimes complete, with respect to context equivalence. In this paper we show that…

Logic in Computer Science · Computer Science 2015-06-23 Ugo Dal Lago , Alessandro Rioli

Probabilistic automata (PAs) have been successfully applied in formal verification of concurrent and stochastic systems. Efficient model checking algorithms have been studied, where the most often used logics for expressing properties are…

Logic in Computer Science · Computer Science 2015-07-01 Lei Song , Lijun Zhang , Jens Chr. Godskesen , Flemming Nielson

Compilers use control flow graph (CFG) representations of low-level programs because they are suited to program analysis and optimizations. However, formalizing the behavior and metatheory of CFG programs is non-trivial: CFG programs don't…

Programming Languages · Computer Science 2018-05-16 Dmitri Garbuzov , William Mansky , Christine Rizkallah , Steve Zdancewic

Axioms are presented which encapsulate the properties satisfied by categories of games which form the basis of results on full abstraction for PCF and other programming languages, and on full completeness for various logics and type…

Logic in Computer Science · Computer Science 2014-01-22 Samson Abramsky

We introduce a variant of transition systems, where activation of transitions depends on conditions of the environment and upgrades during runtime potentially create additional transitions. Using a cornerstone result in lattice theory, we…

Software Engineering · Computer Science 2017-06-09 Harsh Beohar , Barbara König , Sebastian Küpper , Alexandra Silva
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