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We investigate program equivalence for linear higher-order(sequential) languages endowed with primitives for computational effects. More specifically, we study operationally-based notions of program equivalence for a linear…

Programming Languages · Computer Science 2021-06-25 Ugo Dal Lago , Francesco Gavazzo

We present new proofs of termination of evaluation in reduction semantics (i.e., a small-step operational semantics with explicit representation of evaluation contexts) for System F with control operators. We introduce a modified version of…

Programming Languages · Computer Science 2013-09-06 Małgorzata Biernacka , Dariusz Biernacki , Sergueï Lenglet , Marek Materzok

Interaction languages such as MSC are often associated with formal semantics by means of translations into distinct behavioral formalisms such as automatas or Petri nets. In contrast to translational approaches we propose an operational…

Software Engineering · Computer Science 2020-05-08 Erwan Mahe , Christophe Gaston , Pascale Le Gall

This paper develops a novel minimal-state operational semantics for higher-order functional languages that uses only the call stack and a source program point or a lexical level as the complete state information: there is no environment, no…

Programming Languages · Computer Science 2024-03-11 Scott Smith , Robert Zhang

We consider the problem of symbolic reachability analysis of higher-order context-free processes. These models are generalizations of the context-free processes (also called BPA processes) where each process manipulates a data structure…

Logic in Computer Science · Computer Science 2007-05-29 Ahmed Bouajjani , Antoine Meyer

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

In natural language, referencing objects at different levels of specificity is a fundamental pragmatic mechanism for efficient communication in context. We develop a novel communication game, the hierarchical reference game, to study the…

Artificial Intelligence · Computer Science 2022-09-16 Xenia Ohmer , Marko Duda , Elia Bruni

Game semantics extends the Curry-Howard isomorphism to a three-way correspondence: proofs, programs, strategies. But the universe of strategies goes beyond intuitionistic logics and lambda calculus, to capture stateful programs. In this…

Logic in Computer Science · Computer Science 2013-07-09 Martin Churchill , Jim Laird , Guy McCusker

Logical relations constitute a key method for reasoning about contextual equivalence of programs in higher-order languages. They are usually developed on a per-case basis, with a new theory required for each variation of the language or of…

Logic in Computer Science · Computer Science 2024-05-17 Sergey Goncharov , Stefan Milius , Stelios Tsampas , Henning Urbat

This paper obtains a completeness result for inequational reasoning with applicative terms without variables in a setting where the intended semantic models are the full structures, the full type hierarchies over preorders for the base…

Logic in Computer Science · Computer Science 2022-02-18 Lawrence S. Moss , Thomas F. Icard

We introduce operational semantics into games. And based on the operational semantics, we establish a full algebra of games, including basic algebra of games, algebra of concurrent games, recursion and abstraction. The algebra can be used…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

We present a framework for the efficient application of stateless model checking (SMC) to concurrent programs running under the Release-Acquire (RA) fragment of the C/C++11 memory model. Our approach is based on exploring the possible…

Programming Languages · Computer Science 2018-09-12 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Bengt Jonsson , Tuan Phong Ngo

This paper presents an approach that brings together game theory with grammatical inference and discrete abstractions in order to synthesize control strategies for hybrid dynamical systems performing tasks in partially unknown but…

Robotics · Computer Science 2012-10-08 Jie Fu , Herbert G. Tanner , Jeffrey Heinz , Jane Chandlee , Konstantinos Karydis , Cesar Koirala

Game semantics has been used with considerable success in formulating fully abstract semantics for languages with higher-order procedures and a wide range of computational effects. Recently, nominal games have been proposed for modelling…

Programming Languages · Computer Science 2015-07-01 Nikos Tzevelekos

A construction of fully abstract typed models for PCF and PCF^+ (i.e., PCF + "parallel conditional function"), respectively, is presented. It is based on general notions of sequential computational strategies and wittingly consistent…

Logic in Computer Science · Computer Science 2015-07-01 Vladimir Sazonov

We use a reformulation of compositional game theory to reunite game theory with game semantics, by viewing an open game as the System and its choice of contexts as the Environment. Specifically, the system is jointly controlled by $n \geq…

Computer Science and Game Theory · Computer Science 2020-09-16 Jules Hedges

This is an introduction to Game Semantics based on some lecture notes given at the CLiCS II summer school in Cambridge in 1995. We will focus on the recent (1994) work on Game semantics, which has led to some striking advances in the Full…

Logic in Computer Science · Computer Science 2013-12-03 Samson Abramsky

Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing dependencies induced by quantifications in first-order…

Logic in Computer Science · Computer Science 2011-01-27 Samuel Mimram

Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing dependencies induced by quantifications in first-order…

Logic in Computer Science · Computer Science 2009-08-28 Samuel Mimram

The call-by-need lambda calculus provides an equational framework for reasoning syntactically about lazy evaluation. This paper examines its operational characteristics. By a series of reasoning steps, we systematically unpack the…

Programming Languages · Computer Science 2015-07-01 Ronald Garcia , Andrew Lumsdaine , Amr Sabry