Abstract
Universal Graphs and Good for Small Games Automata: New Tools for Infinite Duration Games -- Resource-Tracking Concurrent Games -- Change Actions: Models of Generalised Differentiation -- Coalgebra Learning via Duality -- Tight Worst-Case Bounds for Polynomial Loop Programs -- A Complete Normal-Form Bisimilarity for State -- Identifiers in Registers - Describing Network Algorithms with Logic -- The Impatient May Use Limited Optimism to Minimize Regret -- Causality in Linear Logic: Full Completeness and Injectivity (Unit-Free Multiplicative-Additive Fragment) -- Rewriting Abstract Structures: Materialization Explained Categorically -- Two-Way Parikh Automata with a Visibly Pushdown Stack -- Kleene Algebra with Hypotheses -- Trees in Partial Higher Dimensional Automata -- The Bernays-Schoenfinkel-Ramsey Class of Separation Logic on Arbitrary Domains -- Continuous Reachability for Unordered Data Petri Nets is in PTime -- Optimal Satisfiability Checking for Arithmetic mu-Calculi -- Constructing Inductive-Inductive Types in Cubical Type Theory -- Causal Inference by String Diagram Surgery -- Higher-Order Distributions for Differential Linear Logic -- Languages Ordered by the Subword Order -- Strong Adequacy and Untyped Full-Abstraction for Probabilistic Coherence Spaces -- A Sound and Complete Logic for Algebraic Effects -- Equational Axiomatization of Algebras with Structure -- Towards a Structural Proof Theory of Probabilistic μ-Calculi -- Partial and Conditional Expectations in Markov Decision Processes with Integer Weights -- Equational Theories and Monads from Polynomial Cayley Representations -- A Dialectica-Like Interpretation of a Linear MSO on Infinite Words -- Deciding Equivalence of Separated Non-Nested Attribute Systems in Polynomial Time -- Justness: A Completeness Criterion for Capturing Liveness Properties -- Path category for Free - Open Morphisms from Coalgebras with Non-Deterministic Branching.
Highlights
One of the most important properties we would like to know about programs is their resource usage, i.e., the amount of resources required for their execution
In this work we focus on values that grow polynomially, and our goal is to find polynomial bounds that are tight, in the sense of being precise up to a constant factor
We break the description into stages: first we reduce the problem of analyzing any program to that of analyzing simple disjunctive loops, defined
Summary
One of the most important properties we would like to know about programs is their resource usage, i.e., the amount of resources (such as time, memory and energy) required for their execution. This information is useful during development, when performance bugs and security vulnerabilities exploiting performance issues can be avoided. Another example is counting the number of visits to designated program locations Realistic problems of this type include bounding the number of calls to specific functions, perhaps to system services; the number of I/O operations; number of accesses to memory, etc. The consumption of resources such as energy suits our problem formulation as long as such explicit bookkeeping is possible (we have to assume that the increments, if not constant, are given by a monotone polynomial expression)
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