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We consider the model checking problem for probabilistic pushdown automata (pPDA) and properties expressible in various probabilistic logics. We start with properties that can be formulated as instances of a generalized random walk problem.…

Logic in Computer Science · Computer Science 2017-01-11 Javier Esparza , Antonin Kucera , Richard Mayr

We study the algebraic effects and handlers as a way to support decision-making abstractions in functional programs, whereas a user can ask a learning algorithm to resolve choices without implementing the underlying selection mechanism, and…

Programming Languages · Computer Science 2022-03-30 Ugo Dal Lago , Francesco Gavazzo , Alexis Ghyselen

In a recent paper, Belle and Levesque proposed a framework for a type of program called belief programs, a probabilistic extension of GOLOG programs where every action and sensing result could be noisy and every test condition refers to the…

Artificial Intelligence · Computer Science 2022-05-04 Daxin Liu , Gerhard Lakemeyer

We present a computer-checked generic implementation for solving finite-horizon sequential decision problems. This is a wide class of problems, including inter-temporal optimizations, knapsack, optimal bracketing, scheduling, etc. The…

Logic in Computer Science · Computer Science 2023-06-22 Nicola Botta , Patrik Jansson , Cezar Ionescu , David R. Christiansen , Edwin Brady

We report on work in progress on automatic procedures for proving properties of programs written in higher-order functional languages. Our approach encodes higher-order programs directly as first-order SMT problems over Horn clauses. It is…

Logic in Computer Science · Computer Science 2013-06-25 Nikolaj Bjorner , Ken McMillan , Andrey Rybalchenko

The higher order matching problem is the problem of determining whether a term is an instance of another in the simply typed $\lambda$-calculus, i.e. to solve the equation a = b where a and b are simply typed $\lambda$-terms and b is…

Logic in Computer Science · Computer Science 2023-06-05 Gilles Dowek

In this paper, we investigate the hypothesis testing problem that checks whether part of covariates / confounders significantly affect the heterogeneous treatment effect given all covariates. This model checking is particularly useful in…

Statistics Theory · Mathematics 2020-09-24 Niwen Zhou , Xu Guo , Lixing Zhu

Experimentation is widely utilized for causal inference and data-driven decision-making across disciplines. In an A/B experiment, for example, an online business randomizes two different treatments (e.g., website designs) to their customers…

Methodology · Statistics 2025-01-15 Wenxuan Guo , JungHo Lee , Panos Toulis

We study the problem of deriving policies, or rules, that when enacted on a complex system, cause a desired outcome. Absent the ability to perform controlled experiments, such rules have to be inferred from past observations of the system's…

Machine Learning · Computer Science 2020-09-09 Kailash Budhathoki , Mario Boley , Jilles Vreeken

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

It is widely acknowledged that function symbols are an important feature in answer set programming, as they make modeling easier, increase the expressive power, and allow us to deal with infinite domains. The main issue with their…

Artificial Intelligence · Computer Science 2020-02-19 Marco Calautti , Sergio Greco , Cristian Molinaro , Irina Trubitsyna

Algebraic effects offer a versatile framework that covers a wide variety of effects. However, the family of operations that delimit scopes are not algebraic and are usually modelled as handlers, thus preventing them from being used freely…

Programming Languages · Computer Science 2022-01-26 Zhixuan Yang , Marco Paviotti , Nicolas Wu , Birthe van den Berg , Tom Schrijvers

We study the connection of two problems within the planning and verification community: Conformant planning and model-checking of hyperproperties. Conformant planning is the task of finding a sequential plan that achieves a given objective…

Artificial Intelligence · Computer Science 2025-12-30 Raven Beutner , Bernd Finkbeiner

Temporal Logic Model Checking is a verification method in which we describe a system, the model, and then we verify whether some properties, expressed in a temporal logic formula, hold in the system. It has many industrial applications. In…

Artificial Intelligence · Computer Science 2021-04-12 Paolo Liberatore , Marco Schaerf

In this article, we develop a new and somewhat unexpected connection between higher-order model-checking and linear logic. Our starting point is the observation that once embedded in the relational semantics of linear logic, the Church…

Logic in Computer Science · Computer Science 2016-09-29 Charles Grellois , Paul-André Melliès

We study discrete probabilistic programs with potentially unbounded looping behaviors over an infinite state space. We present, to the best of our knowledge, the first decidability result for the problem of determining whether such a…

Logic in Computer Science · Computer Science 2022-06-22 Mingshuai Chen , Joost-Pieter Katoen , Lutz Klinkenberg , Tobias Winkler

Multivalued treatment models have typically been studied under restrictive assumptions: ordered choice, and more recently unordered monotonicity. We show how treatment effects can be identified in a more general class of models that allows…

Econometrics · Economics 2018-05-02 Sokbae Lee , Bernard Salanié

Algebraic effects & handlers have become a standard approach for side-effects in functional programming. Their modular composition with other effects and clean separation of syntax and semantics make them attractive to a wide audience.…

Programming Languages · Computer Science 2024-11-27 Roger Bosman , Birthe van den Berg , Wenhao Tang , Tom Schrijvers

It is well known that the reachability problem for simply-typed lambda calculus with recursive definitions and finite base-type values (finitary PCF) is decidable. A recent paper by Dal Lago and Ghyselen has shown that the same problem…

Logic in Computer Science · Computer Science 2025-08-21 Ryunosuke Endo , Tachio Terauchi

Probabilistic programming languages (PPLs) allow programmers to construct statistical models and then simulate data or perform inference over them. Many PPLs restrict models to a particular instance of simulation or inference, limiting…

Programming Languages · Computer Science 2024-12-24 Minh Nguyen , Roly Perera , Meng Wang , Nicolas Wu