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Once failure is irreversible, continuation payoffs cannot be meaningfully aggregated across strategies that differ in their survival properties. Standard scalar evaluation sidesteps this by arbitrarily completing payoffs beyond termination,…

Theoretical Economics · Economics 2026-02-10 Nicholas H. Kirk

We develop the linear programming approach to mean-field games in a general setting. This relaxed control approach allows to prove existence results under weak assumptions, and lends itself well to numerical implementation. We consider…

Optimization and Control · Mathematics 2020-11-24 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov

Language models generate functionally correct code that tends toward excessive verbosity, with elaborate documentation and defensive patterns that diverge from human baselines. Two prompting mechanisms have emerged for stylistic control:…

Software Engineering · Computer Science 2025-11-19 Jeremiah Bohr

Prompted models have demonstrated impressive few-shot learning abilities. Repeated interactions at test-time with a single model, or the composition of multiple models together, further expands capabilities. These compositions are…

Inductions and game semantics are two useful extensions to traditional logic programming. To be specific, inductions can capture a wider class of provable formulas in logic programming. Adopting game semantics can make logic programming…

Logic in Computer Science · Computer Science 2015-08-11 Keehang Kwon

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

Exception handling is provided by most modern programming languages. It allows to deal with anomalous or exceptional events which require special processing. In computer algebra, exception handling is an efficient way to implement the…

Logic in Computer Science · Computer Science 2014-03-14 Jean-Guillaume Dumas , Dominique Duval , Burak Ekici , Jean-Claude Reynaud

Previous results on proving confluence for Constraint Handling Rules are extended in two ways in order to allow a larger and more realistic class of CHR programs to be considered confluent. Firstly, we introduce the relaxed notion of…

Logic in Computer Science · Computer Science 2016-11-22 Henning Christiansen , Maja H. Kirkeby

The focus of the papers presented in this volume is on the interplay between syntax and semantics in case of languages, namely the central question of what a program means and how it does define the intended procedure. This is a crucial…

Logic in Computer Science · Computer Science 2013-09-05 Ugo de'Liguoro , Alexis Saurin

Copatterns give functional programs a flexible mechanism for responding to their context, and composition can greatly enhance their expressiveness. However, that same expressive power makes it harder to precisely specify the behavior of…

Programming Languages · Computer Science 2025-08-19 Paul Downen

Game semantics is a trace-like denotational semantics for programming languages where the notion of legal observable behaviour of a term is defined combinatorially, by means of rules of a game between the term (the "Proponent") and its…

Logic in Computer Science · Computer Science 2012-01-24 Dan R. Ghica , Nikos Tzevelekos

Hybrid computation combines discrete and continuous dynamics in the form of an entangled mixture inherently present both in various natural phenomena, and in applications ranging from control theory to microbiology. The emergent behaviours…

Logic in Computer Science · Computer Science 2019-07-19 Sergey Goncharov , Renato Neves

Counters that hold natural numbers are ubiquitous in modeling and verifying software systems; for example, they model dynamic creation and use of resources in concurrent programs. Unfortunately, such discrete counters often lead to…

Formal Languages and Automata Theory · Computer Science 2025-11-27 A. R. Balasubramanian , Matthew Hague , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Notions of computation can be modelled by monads. Algebraic effects offer a characterization of monads in terms of algebraic operations and equational axioms, where operations are basic programming features, such as reading or updating the…

Programming Languages · Computer Science 2024-05-21 Cristina Matache , Sam Lindley , Sean Moss , Sam Staton , Nicolas Wu , Zhixuan Yang

In this functional pearl, we examine the use of definitional interpreters as a basis for abstract interpretation of higher-order programming languages. As it turns out, definitional interpreters, especially those written in monadic style,…

Programming Languages · Computer Science 2017-07-18 David Darais , Nicholas Labich , Phuc C. Nguyen , David Van Horn

We consider a hierarchy of four typed call-by-value languages with either higher-order or ground-type references and with either callcc or no control operator.Our first result is a fully abstract trace model for the most expressive setting,…

Logic in Computer Science · Computer Science 2021-01-22 Guilhem Jaber , Andrzej S. Murawski

We introduce a semantic approach to the study of logics for access control and dependency analysis, based on Game Semantics. We use a variant of AJM games with explicit justification (but without pointers). Based on this, we give a simple…

Logic in Computer Science · Computer Science 2014-01-22 Samson Abramsky , Radha jagadeesan

The development of programming languages can be quite complicated and costly. Hence, much effort has been devoted to the modular definition of language features that can be reused in various combinations to define new languages and…

Programming Languages · Computer Science 2021-08-26 Birthe van den Berg , Tom Schrijvers , Casper Bach-Poulsen , Nicolas Wu

Every Model of High-Level Computation (MHC) has an underlying composition mechanism for combining simple computing devices into more complex ones. Composition can be done by (explicitly or implicitly) defining control flow, data flow or any…

Logic in Computer Science · Computer Science 2026-05-22 Damian Arellanes

One recurring problem in program development is that of understanding how to re-use code developed by a third party. In the context of (constraint) logic programming, part of this problem reduces to figuring out how to query a program. If…

Programming Languages · Computer Science 2007-05-23 Andy King , Lunjin Lu