COMP3161/COMP9164 Abstract Machines Exercises Liam O’Connor October 20, 2019 1. Decision Machines: Suppose we have a language of nested brackets N (where ε is the empty string): N eNN eNN eNN εN 1 (e)N 2 ⟨e⟩N 3 [e]N 4 Note that ()() is not a string in this language. We developed a simple abstract machine […]
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1 Safety and Liveness; Exceptions Christine Rizkallah CSE, UNSW Term 3; 2020 Program Properties 2 Consider a sequence of states, representing the evaluation of a program in a small step semantics (a trace): σ1 →σ2 →σ3 →···→σn Observe that some traces are finite, whereas others are infinite. To simplify things, we’ll make all traces infinite
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COMP3161/COMP9164 Abstract Machines Exercises Liam O’Connor October 20, 2019 1. Decision Machines: Suppose we have a language of nested brackets N (where ε is the empty string): N eNN eNN eNN εN 1 (e)N 2 ⟨e⟩N 3 [e]N 4 Note that ()() is not a string in this language. We developed a simple abstract machine
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Natural Deduction Rule Induction Ambiguity Simultaneous Induction 1 Natural Deduction and Rule Induction Dr. Liam O’Connor University of Edinburgh LFCS UNSW, Term 3 2020 Natural Deduction Rule Induction Ambiguity Simultaneous Induction Formalisation To talk about languages in a mathematical way, we need to formalise them. Formalisation Formalisation is the process of giving a language a
COMP3161/COMP9164 Syntax Exercises Liam O’Connor September 26, 2019 1. (a) [⋆] Consider the following expressions in Higher Order abstract syntax. Convert them to concrete syntax. i. (Let (Num 3) (x. (Let (Plus x (Num 1)) (x. (Plus x x))))) ii. (Plus (Let (Num 3) (x. (Plus x x))) (Let (Num 2) (y. (Plus y (Num
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COMP3161/9164 20T3 Assignment 2 Type Inference for Polymorphic MinHs Version 2.0 Marks : 17.5% of the overall mark Due date: Friday 20th November 2020, 12 noon Sydney time Overview In this assignment you will implement a type inference pass for MinHS. The language used in this assignment differs from the language of the first assignment
Cost Models Control Flow Refinement and Simulation Abstract Machines Dr. Liam O’Connor University of Edinburgh LFCS UNSW, Term 3 2020 1 Cost Models Control Flow Refinement and Simulation Big O We all know that MergeSort has O(n log n) time complexity, and that BubbleSort has O(n2) time complexity, but what does that actually mean? 2
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COMP3161/COMP9164 Preliminaries Exercises Liam O’Connor September 27, 2019 1. Strange Loops: The following system, based on a system called Miu, is perhaps famously mentioned in Douglas Hofstadter’s book, G ̈odel, Escher, Bach. 1 xI Miu 2 Mx Miu 3 xIIIy Miu4 xUUy Miu5 xIU Miu Mxx Miu xUy Miu xy Miu MI Miu (a) [⋆]
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COMP3161/COMP9164 Supplementary Lecture Notes Abstract Machines Gabriele Keller, Liam O’Connor October 20, 2019 1 Abstract Machines Abstract machines are a theoretical model of a calculator, typically consisting of a set of states, including initial and final states, and a set of machine operations, which manipulate the state of the machine. They are an important concept
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COMP3161/9164 20T3 Assignment 1 MinHs Version 2.6 Marks : 17.5% of the mark for the course. Due date: Friday, 30th of October 2020, 12 noon Sydney time Overview In this assignment you will implement an interpreter for MinHs, a small functional language similar to ML and Haskell. It is fully typed, with types specified by