Taste of Agda Preliminaries Programming With Dependent Types: Vectors Agda as a Proof Assistant: Proving Associativity of Addition Building an Executable Agda Program Where to go from here? A List of Tutorials type Fin 0. For more details, see the section on coverage checking. Agda as a Proof Assistant: Proving Associativity of Addition In this section we state and prove the associativity of addition on the that x and y are equal objects. By writing a function that returns an object of type x ≡ y, we are proving that the two terms are equal. Now we can state associativity: given three (possibly different) natural

Taste of Agda Preliminaries Programming With Dependent Types: Vectors Agda as a Proof Assistant: Proving Associativity of Addition Building an Executable Agda Program Where to go from here? A List of Tutorials type Fin 0. For more details, see the section on coverage checking. Agda as a Proof Assistant: Proving Associativity of Addition In this section we state and prove the associativity of addition on the that x and y are equal objects. By writing a function that returns an object of type x ≡ y, we are proving that the two terms are equal. Now we can state associativity: given three (possibly different) natural

Taste of Agda Preliminaries Programming With Dependent Types: Vectors Agda as a Proof Assistant: Proving Associativity of Addition Building an Executable Agda Program Where to go from here? A List of Tutorials type Fin 0. For more details, see the section on coverage checking. Agda as a Proof Assistant: Proving Associativity of Addition In this section we state and prove the associativity of addition on the that x and y are equal objects. By writing a function that returns an object of type x ≡ y, we are proving that the two terms are equal. Now we can state associativity: given three (possibly different) natural

Taste of Agda Preliminaries Programming With Dependent Types: Vectors Agda as a Proof Assistant: Proving Associativity of Addition Building an Executable Agda Program Where to go from here? A List of Tutorials type Fin 0. For more details, see the section on coverage checking. Agda as a Proof Assistant: Proving Associativity of Addition In this section we state and prove the associativity of addition on the that x and y are equal objects. By writing a function that returns an object of type x ≡ y, we are proving that the two terms are equal. Now we can state associativity: given three (possibly different) natural

18 Chapter 2. Getting Started Agda User Manual, Release 2.6.3 2.4.3 Agda as a Proof Assistant: Proving Associativity of Addition In this section we state and prove the associativity of addition on the that x and y are equal objects. By writing a function that returns an object of type x ≡ y, we are proving that the two terms are equal. Now we can state associativity: given three (possibly different) natural instead shows the message *All Goals* with a list of goals. We have now entered the interactive proving mode. Agda turns our question mark into what is called a hole { }0 with a label 0. Each hole stands

Fin 0. For more details, see the section on coverage checking. 2.4.3 Agda as a Proof Assistant: Proving Associativity of Addition In this section we state and prove the associativity of addition on the that x and y are equal objects. By writing a function that returns an object of type x ≡ y, we are proving that the two terms are equal. Now we can state associativity: given three (possibly different) natural instead shows the message *All Goals* with a list of goals. We have now entered the interactive proving mode. Agda turns our question mark into what is called a hole { }0 with a label 0. Each hole stands

checking. 2.4. A Taste of Agda 17 Agda User Manual, Release 2.6.2.2 2.4.3 Agda as a Proof Assistant: Proving Associativity of Addition In this section we state and prove the associativity of addition on the that x and y are equal objects. By writing a function that returns an object of type x ≡ y, we are proving that the two terms are equal. Now we can state associativity: given three (possibly different) natural instead shows the message *All Goals* with a list of goals. We have now entered the interactive proving mode. Agda turns our question mark into what is called a hole { }0 with a label 0. Each hole stands

Fin 0. For more details, see the section on coverage checking. 2.4.3 Agda as a Proof Assistant: Proving Associativity of Addition In this section we state and prove the associativity of addition on the that x and y are equal objects. By writing a function that returns an object of type x ≡ y, we are proving that the two terms are equal. Now we can state associativity: given three (possibly different) natural instead shows the message *All Goals* with a list of goals. We have now entered the interactive proving mode. Agda turns our question mark into what is called a hole { }0 with a label 0. Each hole stands

[http://www.cse.chalmers.se/~ulfn/code/tphols09/] Anton Setzer. Lecture notes on Interactive Theorem Proving [http://www.cs.swan.ac.uk/~csetzer/lectures/intertheo/07/interactiveTheoremProvingForAgdaU r/CS410-notes.pdf], videos from 2017 [https://github.com/pigworker/CS410-17/]. Interactive Theorem proving [http://www.cs.swan.ac.uk/~csetzer/lectures/intertheo/07/] (CS__336), Anton Setzer, Swansea University Abstraction Pattern matching lambda Local Definitions: let and where let-expressions where-blocks Proving properties More Examples (for Beginners) Lexical Structure Tokens Layout Literate Agda Literal

[http://www.cse.chalmers.se/~ulfn/code/tphols09/] Anton Setzer. Lecture notes on Interactive Theorem Proving [http://www.cs.swan.ac.uk/~csetzer/lectures/intertheo/07/interactiveTheoremProvingForAgdaU r/CS410-notes.pdf], videos from 2017 [https://github.com/pigworker/CS410-17/]. Interactive Theorem proving [http://www.cs.swan.ac.uk/~csetzer/lectures/intertheo/07/] (CS__336), Anton Setzer, Swansea University Abstraction Pattern matching lambda Local Definitions: let and where let-expressions where-blocks Proving properties More Examples (for Beginners) Lexical Structure Tokens Layout Literate Agda Literal