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Logics of non-sense allow a third truth value to express propositions that are \emph{nonsense}. These logics are ideal formalisms to understand how errors are handled in programs and how they propagate throughout the programs once they…

Logic in Computer Science · Computer Science 2020-09-24 Can Başkent

Call a semantics for a language with variables absolute when variables map to fixed entities in the denotation. That is, a semantics is absolute when the denotation of a variable a is a copy of itself in the denotation. We give a trio of…

Logic in Computer Science · Computer Science 2026-04-20 Murdoch J. Gabbay

The framework of graded semantics uses graded monads to capture behavioural equivalences of varying granularity, for example as found on the linear-time/branching-time spectrum, over general system types. We describe a generic…

Logic in Computer Science · Computer Science 2024-05-08 Chase Ford , Harsh Beohar , Barbara König , Stefan Milius , Lutz Schröder

The focus of these lecture notes is on abstract models and basic ideas and results that relate to the operational semantics of programming languages largely conceived. The approach is to start with an abstract description of the computation…

Programming Languages · Computer Science 2025-10-15 Roberto M. Amadio

Game-semantic models usually start from the core model of the prototypical language PCF, which is characterised by a range of combinatorial constraints on the shape of plays. Relaxing each such constraint usually corresponds to the…

Logic in Computer Science · Computer Science 2019-08-14 Dan R. Ghica

We discuss the extent to which game semantics is implicit in the formalism of linear logic and in the intuitions underlying linear logic.

Logic · Mathematics 2008-02-03 Andreas Blass

We present a game semantics for Linear Logic, in which formulas denote games and proofs denote winning strategies. We show that our semantics yields a categorical model of Linear Logic and prove full completeness for Multiplicative Linear…

Logic in Computer Science · Computer Science 2013-11-26 Samson Abramsky , Radha Jagadeesan

An important property of programming language semantics is that they should be compositional. However, unstructured low-level code contains goto-like commands making it hard to define a semantics that is compositional. In this paper, we…

Programming Languages · Computer Science 2015-03-18 Nils Jähnig , Thomas Göthel , Sabine Glesner

A description of the environment cognition process by intelligent systems with a fixed set of system goals is suggested. Such a system is represented by the set of its goals only without any models of the system elements or the environment.…

Artificial Intelligence · Computer Science 2019-01-03 Dmitry Maximov

In Dung-style abstract argumentation, various semantics capture notions of acceptability of arguments. The admissibility semantics capture the notion that an argument can be consistently defended from any potential counterargument. Weak…

Artificial Intelligence · Computer Science 2026-05-05 Uri Andrews , Luca San Mauro , John Spoerl

Adding interaction to logic programming is an essential task. Expressive logics such as linear logic provide a theoretical basis for such a mechanism. Unfortunately, none of the existing linear logic languages can model interactions with…

Logic in Computer Science · Computer Science 2015-07-19 Keehang Kwon

Probabilistic program analysis aims to quantify the probability that a given program satisfies a required property. It has many potential applications, from program understanding and debugging to computing program reliability, compiler…

Programming Languages · Computer Science 2017-09-08 Aleksandar S. Dimovski

We present abstract complexity results about Coquand and Hyland-Ong game semantics, that will lead to new bounds on the length of first-order cut-elimination, normalization, interaction between expansion trees and any other dialogical…

Logic · Mathematics 2016-08-12 Federico Aschieri

Rules in logic programming encode information about mutual interdependencies between literals that is not captured by any of the commonly used semantics. This information becomes essential as soon as a program needs to be modified or…

Artificial Intelligence · Computer Science 2011-03-02 Martin Slota , João Leite

This work extends the present author's computational game semantics of Martin-L\"{o}f type theory to the cumulative hierarchy of universes. This extension completes game semantics of all standard types of Martin-L\"{o}f type theory for the…

Logic · Mathematics 2022-03-25 Norihiro Yamada

Many privacy-type properties of security protocols can be modelled using trace equivalence properties in suitable process algebras. It has been shown that such properties can be decided for interesting classes of finite processes (i.e.,…

Cryptography and Security · Computer Science 2016-10-27 David Baelde , Stéphanie Delaune , Lucca Hirschi

We introduce and investigate a range of general notions of a game. Our principal notion is based on a set of agents modifying a relational structure in a discrete evolution sequence. We also introduce and study a variety of ways to model…

Logic in Computer Science · Computer Science 2019-11-20 Antti Kuusisto

We describe a denotational semantics for an abstract effect system for a higher-order, shared-variable concurrent programming language. We prove the soundness of a number of general effect-based program equivalences, including a…

Programming Languages · Computer Science 2015-10-12 Nick Benton , Martin Hofmann , Vivek Nigam

Justification theory is a unifying semantic framework. While it has its roots in non-monotonic logics, it can be applied to various areas in computer science, especially in explainable reasoning; its most central concept is a justification:…

Artificial Intelligence · Computer Science 2020-09-23 Simon Marynissen , Bart Bogaerts , Marc Denecker

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