docs: minor typo fixes (#612)

Author: cliraa

docs/architecture/0_supported_verifiers.md

@@ -1,6 +1,6 @@
 # Supported verifiers
 
-Aligned Layer's support for multiple proof systems is a significant advantage, as it allows users to choose the most suitable system based on their specific requirements.
+Aligned's support for multiple proof systems is a significant advantage, as it allows users to choose the most suitable system based on their specific requirements.
 
 The following is the list of the verifiers currently supported by Aligned:
 

docs/architecture/1_fast_mode.md

@@ -1,4 +1,4 @@
-## Fast mode in an nutshell
+## Fast mode in a nutshell
 
 ## Architecture
 Aligned’s architecture is shown in the figure below:

docs/guides/0_submitting_proofs.md

@@ -33,7 +33,7 @@ You need to have installed [Foundry](https://book.getfoundry.sh/getting-started/
     cast wallet new-mnemonic --words 12
     ```
 
-    It will show you a new mnemonic phrase, and a public private key pair, similar to the following example:
+    It will show you a new mnemonic phrase, and a public-private key pair, similar to the following example:
 
     ```
     Phrase:

docs/guides/2_using_aligned_on_your_app.md

@@ -44,7 +44,7 @@ Note that the contract checks that the verification key commitment is the same a
 require(elfCommitment == provingSystemAuxDataCommitment, "ELF does not match");
 ```
 
-This contracts also includes a static call to the Aligned ServiceManager contract 
+This contract also includes a static call to the Aligned ServiceManager contract 
 to check that the proof was verified in Aligned. For a full version of this, you can view, use as an example guide, or inherit the [Verify Batch Inclusion Caller](../../examples/verify/src/VerifyBatchInclusionCaller.sol) smart contract.
 
 ```solidity

docs/introduction/1_getting_started.md

@@ -3,7 +3,7 @@
 In this tutorial you will learn how to send your first SP1 proofs to get verified in Aligned in under 3 minutes.
 
 ## Quickstart
-We will download a proviously generated SP1 proof, send it to Aligned for verification, and retrieve the results from Ethereum Holesky testnet.
+We will download a previously generated SP1 proof, send it to Aligned for verification, and retrieve the results from Ethereum Holesky testnet.
 
 1. Download and install Aligned to send proofs in the testnet: