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We develop the first theory of control-flow graphs from first principles, and use it to create an algorithm for automatically synthesizing many variants of control-flow graph generators from a language's operational semantics. Our approach…

Programming Languages · Computer Science 2022-07-25 James Koppel , Jackson Kearl , Armando Solar-Lezama

This article develops a novel operational semantics for probabilistic control-flow graphs (pCFGs) of probabilistic imperative programs with random assignment and "observe" (or conditioning) statements. The semantics transforms probability…

Programming Languages · Computer Science 2017-11-08 Torben Amtoft , Anindya Banerjee

Call graphs depict the static, caller-callee relation between "functions" in a program. With most source/target languages supporting functions as the primitive unit of composition, call graphs naturally form the fundamental control flow…

Software Engineering · Computer Science 2016-11-17 Ganesh M. Narayan , K. Gopinath , V. Sridhar

Control-flow graphs (CFGs) of structured programs are well known to exhibit strong sparsity properties. Traditionally, this sparsity has been modeled using graph parameters such as treewidth and pathwidth, enabling the development of faster…

Programming Languages · Computer Science 2026-02-10 Xuran Cai , Amir Goharshady , S Hitarth , Chun Kit Lam

This is a motivating tutorial introduction to a semantic analysis of programming languages using a graphical language as the representation of terms, and graph rewriting as a representation of reduction rules. We show how the graphical…

Programming Languages · Computer Science 2021-02-05 Dan R. Ghica

The program dependence graph (PDG) represents data and control dependence between statements in a program. This paper presents an operational semantics of program dependence graphs. Since PDGs exclude artificial order of statements that…

Programming Languages · Computer Science 2018-03-09 Sohei Ito

Programs that transform other programs often require access to the internal structure of the program to be transformed. This is at odds with the usual extensional view of functional programming, as embodied by the lambda calculus and SK…

Programming Languages · Computer Science 2015-12-15 Martin Lester

Control flow coverage criteria are an important part of the process of qualifying embedded software for safety-critical systems. Criteria such as modified condition/decision coverage (MC/DC) as defined by DO-178B are used by regulators to…

Software Engineering · Computer Science 2024-10-01 Sean Kauffman , Carlos Moreno , Sebastian Fischmeister

A compiler's intermediate representation (IR) defines a program's execution plan by encoding its instructions and their relative order. Compiler optimizations aim to replace a given execution plan with a semantically-equivalent one that…

We present an abstract machine and a reduction semantics for the lambda-calculus extended with control operators that give access to delimited continuations in the CPS hierarchy. The abstract machine is derived from an evaluator in…

Logic in Computer Science · Computer Science 2023-06-27 Malgorzata Biernacka , Dariusz Biernacki , Olivier Danvy

A visual programming language uses pictorial tools such as diagrams to represent its structural units and control stream. It is useful for enhancing understanding, maintenance, verification, testing, and parallelism. This paper proposes a…

Programming Languages · Computer Science 2013-04-23 Sabah Al-Fedaghi

Process calculi and graph transformation systems provide models of reactive systems with labelled transition semantics. While the semantics for process calculi is compositional, this is not the case for graph transformation systems, in…

Logic in Computer Science · Computer Science 2011-08-03 Andrei Dorman , Tobias Heindel

Large language model (LLM) agents are increasingly capable of orchestrating complex tasks in low-code environments. However, these agents often exhibit hallucinations and logical inconsistencies because their inherent reasoning mechanisms…

Artificial Intelligence · Computer Science 2025-10-09 Jiexi Xu , Jiaqi Liu , Lanruo Wang , Su Liu

Computing professionals in areas like compilers, performance analysis, and security often analyze and manipulate control flow graphs (CFGs) in their work. CFGs are directed networks that describe possible orderings of instructions in the…

Human-Computer Interaction · Computer Science 2022-09-27 Sabin Devkota , Matthew P. LeGendre , Adam Kunen , Pascal Aschwanden , Katherine E. Isaacs

The optimization phase of a compiler is responsible for transforming an intermediate representation (IR) of a program into a more efficient form. Modern optimizers, such as that used in the GraalVM compiler, use an IR consisting of a…

Logic in Computer Science · Computer Science 2024-03-04 Brae J. Webb , Mark Utting , Ian J. Hayes

Static analysis approximates the results of a program by examining only its syntax. For example, control-flow analysis (CFA) determines which syntactic lambdas (for functional languages) or (for object-oriented) methods may be invoked at…

Programming Languages · Computer Science 2021-07-28 Davis Ross Silverman , Yihao Sun , Kristopher Micinski , Thomas Gilray

The Functional Machine Calculus (Heijltjes 2022) is a new approach to unifying the imperative and functional programming paradigms. It extends the lambda-calculus, preserving the key features of confluent reduction and typed termination, to…

Programming Languages · Computer Science 2026-03-03 Willem Heijltjes

We generalise Levy's call-by-push-value (CBPV) to dependent type theory, to gain a better understanding of how to combine dependent types with effects. We define a dependently typed extension of CBPV, dCBPV-, and show that it has a very…

Logic in Computer Science · Computer Science 2016-03-15 Matthijs Vákár

Control flow graphs (CFGs) are essential tools for understanding program behavior, yet the size of real-world CFGs makes them difficult to interpret. With thousands of nodes and edges, sophisticated graph drawing algorithms are required to…

Human-Computer Interaction · Computer Science 2025-11-10 Philipp Schaad , Tal Ben-Nun , Torsten Hoefler

Automatically generating function summaries for binaries is an extremely valuable but challenging task, since it involves translating the execution behavior and semantics of the low-level language (assembly code) into human-readable natural…

Programming Languages · Computer Science 2023-10-27 Tong Ye , Lingfei Wu , Tengfei Ma , Xuhong Zhang , Yangkai Du , Peiyu Liu , Shouling Ji , Wenhai Wang
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